Finding the Fourth Proportional to 206,207.76, 284,561.97 and 120,161.26
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Solution
The fourth proportional to 206,207.76, 284,561.97 and 120,161.26 is: 165,819.78
Step by Step Solution
- Step 1: Write the proportion equation
206,207.76 : 284,561.97 = 120,161.26 : x - Step 2: Convert to fraction form
206,207.76/284,561.97 = 120,161.26/x - Step 3: Cross multiply
206,207.76x = 284,561.97 × 120,161.26 - Step 4: Simplify right side
206,207.76x = 34,193,324,863.28 - Step 5: Solve for x
x = 34,193,324,863.28/206,207.76 - Step 6: Final answer
x = 165,819.78
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.